Bridging between short-range and long-range dependence with mixed spatio-temporal Ornstein–Uhlenbeck processes
نویسندگان
چکیده
منابع مشابه
Short Range and Long Range Dependence
In this section a discussion of the evolution of a notion of strong mixing as a measure of short range dependence and with additional restrictions a sufficient condition for a central limit theorem, is given. In the next section I will give a characterization of strong mixing for stationary Gaussian sequences. In Sect. 3 I will give a discussion of processes subordinated to Gaussian processes a...
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The assumption of independence is often only an approximation to the real correlation structure. Models with short-range memory are well known and often used in practice. However even for supposedly i.i.d. high~uality data slowly decaying correlations may occur. If not taken into account, they have disastrous effects on tests and confidence intervals. Stationary processes with a pole of the spe...
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Various classes of arrival processes in telecommunication traffic modeling based on heavy-tailed interarrival time distributions exhibit long-range dependence. This includes arrival rate processes of Anick-MitraSondhi (AMS) type where the rate process is an on/off-process with heavy-tailed on-period distribution and/or off-period distribution, as well as generalized Kosten type models (infinite...
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The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.
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ژورنال
عنوان ژورنال: Stochastics
سال: 2018
ISSN: 1744-2508,1744-2516
DOI: 10.1080/17442508.2018.1466886